Search a number
-
+
935030199004512 = 253132925835272961
BaseRepresentation
bin1101010010011001111010111…
…0110111011010110101100000
311112121200000101020102000201020
43110212132232313122311200
51440024013321421121022
613112350535442005440
7400643462662500552
oct32446365667326540
94477600336360636
10935030199004512
11250a25098173046
1288a53149946880
1331196c7aaa6180
14126c79bb4454d2
15731743436035c
hex35267aeddad60

935030199004512 has 96 divisors (see below), whose sum is σ = 2734405290298080. Its totient is φ = 277780854865920.

The previous prime is 935030199004487. The next prime is 935030199004513. The reversal of 935030199004512 is 215400991030539.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (935030199004513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12917600289 + ... + 12917672672.

It is an arithmetic number, because the mean of its divisors is an integer number (28483388440605).

Almost surely, 2935030199004512 is an apocalyptic number.

It is an amenable number.

935030199004512 is an abundant number, since it is smaller than the sum of its proper divisors (1799375091293568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

935030199004512 is a wasteful number, since it uses less digits than its factorization.

935030199004512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25835273016 (or 25835273008 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 51.

The spelling of 935030199004512 in words is "nine hundred thirty-five trillion, thirty billion, one hundred ninety-nine million, four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1131 1248 1392 1508 2262 2784 3016 4524 6032 9048 12064 18096 36192 25835272961 51670545922 77505818883 103341091844 155011637766 206682183688 310023275532 335858548493 413364367376 620046551064 671717096986 749222915869 826728734752 1007575645479 1240093102128 1343434193972 1498445831738 2015151290958 2247668747607 2480186204256 2686868387944 2996891663476 4030302581916 4495337495214 5373736775888 5993783326952 8060605163832 8990674990428 9739897906297 10747473551776 11987566653904 16121210327664 17981349980856 19479795812594 23975133307808 29219693718891 32242420655328 35962699961712 38959591625188 58439387437782 71925399923424 77919183250376 116878774875564 155838366500752 233757549751128 311676733001504 467515099502256 935030199004512